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Mathematics
The solution of the homogeneous Riemann boundary value problem with a countable set of points of discontinuity of the first kind its coefficient
R. B. Salimov Kazan State Architecture and Building University, 1, Zelenaya str., 420043, Kazan, Russia
Abstract:
We consider the Riemann homogeneous boundary value problem with a countable set of points of discontinuity of the first kind in the case, when it is required to find two functions, analytic, respectively, in the upper and lower half-plane, for a given linear boundary condition on the real axis, connecting the boundary values of the unknown functions.
Key words:
Riemann boundary value problem, analytic functions, finite index.
Citation:
R. B. Salimov, “The solution of the homogeneous Riemann boundary value problem with a countable set of points of discontinuity of the first kind its coefficient”, Izv. Saratov Univ. Math. Mech. Inform., 15:1 (2015), 50–56
Linking options:
https://www.mathnet.ru/eng/isu564 https://www.mathnet.ru/eng/isu/v15/i1/p50
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